DocumentCode
3263376
Title
Advances in fuzzy quotient space theory
Author
Lin, Renbing ; Wang, Jiyi
Author_Institution
Dept. of Basic Courses, Zhejiang Shuren Univ., Hangzhou
fYear
2008
fDate
26-28 Aug. 2008
Firstpage
423
Lastpage
427
Abstract
This paper is devoted to the discussion of necessary and sufficient conditions for isomorphism(the same structure) of fuzzy sets. epsiv - similarity of fuzzy sets is proposed. A new method to prove epsiv - similarity of fuzzy equivalence relation is given, which is more generalized than those in the references. Some conclusions further about fuzzy quotient space for arbitrary threshold are extended.
Keywords
fuzzy set theory; epsiv-similarity; fuzzy equivalence relation; fuzzy quotient space theory; fuzzy sets; isomorphism; Fuzzy set theory; Fuzzy sets; Information science; Mathematics; Path planning; Problem-solving; Space technology; fuzzy equivalence relation; fuzzy quotient space; fuzzy set;
fLanguage
English
Publisher
ieee
Conference_Titel
Granular Computing, 2008. GrC 2008. IEEE International Conference on
Conference_Location
Hangzhou
Print_ISBN
978-1-4244-2512-9
Electronic_ISBN
978-1-4244-2513-6
Type
conf
DOI
10.1109/GRC.2008.4664784
Filename
4664784
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